应数学系方健教授邀请，台湾长庚大学Feng-Bin Wang博士将于9月4-11日访问002全讯白菜网数学系并做两个学术报告，欢迎感兴趣的师生参加。

报告时间：9月7日下午1:30-2:30；
报告地点：格物楼503
报告题目1：Dynamics of reaction-diffusion-advection systems and the applications to river ecology

报告摘要1：Blooms of the harmful algae have increased the intensity worldwide in coastal as well as inland waters. The blooms have direct impacts for human health, and food webs in aquatic ecosystems. Intuitively, strong flow washes out suspended algae, and continual strong flow can overcome the reproductive capacity of planktonic algae. On the other hand, the characteristics of the shorelines and the bed of the channel can reduce the speed of flow, producing slow-flowing regions constituting a hydraulic storage zone that also affects the persistence of harmful algae and their toxins.
      In this talk, we will study reaction-diffusion-advection systems modeling the interactions of a single nutrient, harmful algae and algal toxins in a flowing water habitat with a hydraulic storage zone. The extinction/persistence of harmful algae can be determined by the principal eigenvalue of the associated eigenvalue problem. This talk is based on my recent works joint with Drs. James P. Grover, Sze-Bi Hsu, Julian Lopez-Gomez, Linfeng Mei and Xiao-Qiang Zhao.

报告题目2：Differential equations modeling the competition for resources with internal storage in variable habitats

报告摘要2：Competition for resources is a fundamental interaction between species and there has been a lot of experimental and theoretical analyses of nutrient-limited phytoplankton growth and competition studies. The simplest competition models neglect differences between individuals, using one ordinary differential equation to govern the dynamics of each species. These population dynamics are coupled to dynamics of one or more resources by assuming a constant quota of nutrient per individual, or equivalently, a constant yield of individuals from consumption of a unit of resource. In fact, quotas may vary, leading to variable-internal-stores models. Ecologists believe that spatial or temporal variations can alter competitive outcomes, perhaps promoting coexistence of species and diversity in competitor communities.
       In this talk, I shall discuss some systems modeling nutrient consumption, storage, and population growth in spatially varying environments (PDEs system) or temporally varying environments (ODEs system involved in time-periodic coefficients). This talk is based on my recent works joint with Drs. James P. Grover , Sze-Bi Hsu, Jifa Jiang, King-Yeung Lam, Junping Shi, and Xiaoqiang Zhao.